Height–height correlations for surface growth on percolation networks

Changhan Lee and Sang Bub Lee

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 21, 5053-5060

Abstract: The height–height correlations of the surface growth for equilibrium and nonequilibrium restricted solid-on-solid (RSOS) model were investigated on randomly diluted lattices, i.e., on infinite percolation networks. It was found that the correlation function calculated over the chemical distances reflected the dynamics better than that calculated over the geometrical distances. For the equilibrium growth on a critical percolation network, the correlation function for the evolution time t≫1 yielded a power-law behavior with the power ζ′, associated with the roughness exponent ζ via the relation ζ=ζ′df/dl, with df and dl being, respectively, the fractal dimension and the chemical dimension of the substrate. For the nonequilibrium growth, on the other hand, the correlation functions did not yield power-law behaviors for the concentration of diluted sites x less than or equal to the critical concentration xc.

Keywords: Surface growth; Restricted solid-on-solid model; Percolation network; Height–height correlation function; Critical exponents (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:21:p:5053-5060

DOI: 10.1016/j.physa.2010.06.039

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